2a^2-70=4a

Solution for 2a^2-70=4a equation:

Simplifying
2a2 + -70 = 4a

Reorder the terms:
-70 + 2a2 = 4a

Solving
-70 + 2a2 = 4a

Solving for variable 'a'.

Reorder the terms:
-70 + -4a + 2a2 = 4a + -4a

Combine like terms: 4a + -4a = 0
-70 + -4a + 2a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + -2a + a2) = 0

Factor a trinomial.
2((-5 + -1a)(7 + -1a)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1a)' equal to zero and attempt to solve:

Simplifying
-5 + -1a = 0

Solving
-5 + -1a = 0

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1a = 0 + 5
-1a = 0 + 5

Combine like terms: 0 + 5 = 5
-1a = 5

Divide each side by '-1'.
a = -5

Simplifying
a = -5
Subproblem 2
Set the factor '(7 + -1a)' equal to zero and attempt to solve:

Simplifying
7 + -1a = 0

Solving
7 + -1a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = 0 + -7
-1a = 0 + -7

Combine like terms: 0 + -7 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7
Solution
a = {-5, 7}